{"title":"Numerical solutions for (2+1)-dimensional ZK-MEW equation using linear barycentric rational collocation method","authors":"Zongcheng Li , Jin Li","doi":"10.1016/j.camwa.2025.06.021","DOIUrl":"10.1016/j.camwa.2025.06.021","url":null,"abstract":"<div><div>Numerical solutions for Zakharov-Kuznetsov modified equal width (ZK-MEW) equation are investigated according to linear barycentric rational collocation method (LBRCM). Firstly, by using the Newton linearization method, the nonlinear part is linearized. Then, with help of LBRCM and differentiation matrices, the expression of matrix form for the discrete linear ZK-MEW equation is obtained, which can be easily solved by Matlab. Subsequently, with the aid of barycentric interpolation estimate, convergence rate for numerical solution is shown. Finally, through illustrating two numerical examples, the validity of the theoretical results is verified.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"193 ","pages":"Pages 332-345"},"PeriodicalIF":2.9,"publicationDate":"2025-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144535120","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Estimating the risk of cancer with and without a screening history.","authors":"Dongfeng Wu","doi":"10.1007/s10985-025-09662-1","DOIUrl":"https://doi.org/10.1007/s10985-025-09662-1","url":null,"abstract":"<p><p>A probability method to estimate cancer risk for asymptomatic individuals for the rest of life was developed based on one's current age and screening history using the disease progressive model. The risk is a function of the transition probability density from the disease-free to the preclinical state, the sojourn time in the preclinical state and the screening sensitivity if one had a screening history with negative results. The method can be applied to any chronic disease. As an example, the method was applied to estimate women's breast cancer risk using parameters estimated from the Health Insurance Plan of Greater New York under two scenarios: with and without a screening history, and obtain some meaningful results.</p>","PeriodicalId":49908,"journal":{"name":"Lifetime Data Analysis","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144555552","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Robust functional inverse regression","authors":"Haoyang Cheng , Jianjun Xu , Qian Huang","doi":"10.1016/j.jmva.2025.105472","DOIUrl":"10.1016/j.jmva.2025.105472","url":null,"abstract":"<div><div>Functional sufficient dimension reduction (FSDR) is a popular approach for supervised dimensionality reduction in regression settings, as it allows for the reduction of functional predictors to a lower-dimensional subspace without loss of information. However, most existing FSDR methods are vulnerable to heavy-tailedness or outliers, which are common in many real-world applications. To address this limitation, we propose a robust FSDR method that utilizes a functional pairwise spatial sign (PASS) operator. This approach is suitable for both completely observed functional data and sparsely observed longitudinal data. Our method provides a more robust approach to FSDR, by taking into account the spatial information of the data and assigning greater weights to the less outlier-prone observations. We also provide a convergence rate analysis of the estimator, demonstrating that our method yields a consistent estimate of the dimension reduction directions. The effectiveness of our proposed method is demonstrated through extensive simulations and real data analysis. Our method outperforms existing methods in terms of robustness and accuracy, making it a valuable tool for analyzing functional data across various applications.</div></div>","PeriodicalId":16431,"journal":{"name":"Journal of Multivariate Analysis","volume":"210 ","pages":"Article 105472"},"PeriodicalIF":1.4,"publicationDate":"2025-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144562999","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Combinatorics on bi-γ-positivity of 1/k-Eulerian polynomials","authors":"Sherry H.F. Yan , Xubo Yang , Zhicong Lin","doi":"10.1016/j.jcta.2025.106092","DOIUrl":"10.1016/j.jcta.2025.106092","url":null,"abstract":"<div><div>The <span><math><mn>1</mn><mo>/</mo><mi>k</mi></math></span>-Eulerian polynomials <span><math><msubsup><mrow><mi>A</mi></mrow><mrow><mi>n</mi></mrow><mrow><mo>(</mo><mi>k</mi><mo>)</mo></mrow></msubsup><mo>(</mo><mi>x</mi><mo>)</mo></math></span> were introduced as ascent polynomials over <em>k</em>-inversion sequences by Savage and Viswanathan. The bi-<em>γ</em>-positivity of the <span><math><mn>1</mn><mo>/</mo><mi>k</mi></math></span>-Eulerian polynomials <span><math><msubsup><mrow><mi>A</mi></mrow><mrow><mi>n</mi></mrow><mrow><mo>(</mo><mi>k</mi><mo>)</mo></mrow></msubsup><mo>(</mo><mi>x</mi><mo>)</mo></math></span> was known but to give a combinatorial interpretation of the corresponding bi-<em>γ</em>-coefficients still remains open. The study of the theme of bi-<em>γ</em>-positivity from a purely combinatorial aspect was proposed by Athanasiadis. In this paper, we provide a combinatorial interpretation for the bi-<em>γ</em>-coefficients of <span><math><msubsup><mrow><mi>A</mi></mrow><mrow><mi>n</mi></mrow><mrow><mo>(</mo><mi>k</mi><mo>)</mo></mrow></msubsup><mo>(</mo><mi>x</mi><mo>)</mo></math></span> by using the model of certain ordered labeled forests. Our combinatorial approach consists of three main steps:<ul><li><span>•</span><span><div>construct a bijection between <em>k</em>-Stirling permutations and certain forests that are named increasing pruned even <em>k</em>-ary forests;</div></span></li><li><span>•</span><span><div>introduce a generalized Foata–Strehl action on increasing pruned even <em>k</em>-ary trees which implies the longest ascent-plateau polynomials over <em>k</em>-Stirling permutations with initial letter 1 are <em>γ</em>-positive, a result that may have independent interest;</div></span></li><li><span>•</span><span><div>develop two crucial transformations on increasing pruned even <em>k</em>-ary forests to conclude our combinatorial interpretation.</div></span></li></ul></div></div>","PeriodicalId":50230,"journal":{"name":"Journal of Combinatorial Theory Series A","volume":"217 ","pages":"Article 106092"},"PeriodicalIF":0.9,"publicationDate":"2025-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144522733","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Simultaneous direct sum decompositions of several multivariate polynomials","authors":"Lishan Fang, Hua-Lin Huang, Lili Liao","doi":"10.1016/j.laa.2025.06.022","DOIUrl":"10.1016/j.laa.2025.06.022","url":null,"abstract":"<div><div>We consider the problem of simultaneous direct sum decomposition of a set of multivariate polynomials. To this end, we extend Harrison's center theory for a single homogeneous polynomial to this broader setting. It is shown that the center of a set of polynomials is a special Jordan algebra, and simultaneous direct sum decompositions of the given polynomials are in bijection with complete sets of orthogonal idempotents of their center algebra. Several examples are provided to illustrate the performance of this method.</div></div>","PeriodicalId":18043,"journal":{"name":"Linear Algebra and its Applications","volume":"724 ","pages":"Pages 320-335"},"PeriodicalIF":1.0,"publicationDate":"2025-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144563447","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Pressure correction method with time filter for incompressible Navier–Stokes equations","authors":"Ning Li , Jilian Wu , Xinlong Feng , Yi Li","doi":"10.1016/j.cnsns.2025.109102","DOIUrl":"10.1016/j.cnsns.2025.109102","url":null,"abstract":"<div><div>In this paper, we present standard pressure correction (SPC) and rotational pressure correction (RPC) methods with time filters for two- or three-dimensional (2D/3D) time-dependent incompressible Navier–Stokes equations. The core technique of these methods is to add a time filter at each time step after the original first- and second-order pressure correction methods, which not only decouples velocity and pressure, but also improves the temporal accuracy from first-order to second-order and from second-order to third-order, while not increasing additional computational complexity. Furthermore, combining the original pressure correction method, the pressure correction method plus time filter and the adaptive algorithm design idea, we constructed easy-to-implement adaptive time stepsize pressure correction algorithms and variable stepsize, variable order (VSVO) pressure correction algorithms. We also prove that both first-order SPC and RPC algorithms plus time filter are unconditionally stable and establish error estimates of the velocity for the first-order SPC method plus time filter. Finally, we provide numerical tests to demonstrate the performance of the proposed algorithm, with particular emphasis on the outstanding results achieved by the VSVO pressure correction method.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"151 ","pages":"Article 109102"},"PeriodicalIF":3.4,"publicationDate":"2025-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144557592","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Dan Liu , Kaibo Shi , Xiaohong Cui , Kun Zhou , Binrui Wang
{"title":"Fully distributed pinning synchronization of coupled Takagi-Sugeno fuzzy neural networks with aperiodic intermittent communication","authors":"Dan Liu , Kaibo Shi , Xiaohong Cui , Kun Zhou , Binrui Wang","doi":"10.1016/j.fss.2025.109519","DOIUrl":"10.1016/j.fss.2025.109519","url":null,"abstract":"<div><div>This article concentrates on the problem of pinning synchronization control for coupled fuzzy neural networks with aperiodic intermittent communication. To reduce the conservatism of traditional aperiodic intermittent communication schemes wherein the rest rate of each time subinterval is constrained, we introduce an average rest rate for the whole-time interval by using the concept of average dwell time. Subsequently, fully distributed pinning synchronization strategies with all-edges-based and partial-edges-based adaptive laws for coupling gains are proposed. The proposed synchronization strategies are independent of any global information, including the coupling configuration matrix and the number of coupling nodes. Within the fully distributed framework, the applicability of pinning synchronization strategies is enhanced, particularly for complex systems with large-scale and limited resources. Finally, a numerical simulation is performed to verify the validity of the derived schemes.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"519 ","pages":"Article 109519"},"PeriodicalIF":3.2,"publicationDate":"2025-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144534291","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On special H -matrices based on Beauwens condition","authors":"Srđan Milićević, Maja Nedović","doi":"10.1080/03081087.2025.2523277","DOIUrl":"https://doi.org/10.1080/03081087.2025.2523277","url":null,"abstract":"","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"104 1","pages":"1-17"},"PeriodicalIF":1.1,"publicationDate":"2025-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144547494","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Bipartite friends and strangers walking on bipartite graphs","authors":"Ryan Jeong","doi":"10.1016/j.disc.2025.114667","DOIUrl":"10.1016/j.disc.2025.114667","url":null,"abstract":"<div><div>Given <em>n</em>-vertex simple graphs <em>X</em> and <em>Y</em>, the friends-and-strangers graph <span><math><mrow><mi>FS</mi></mrow><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>)</mo></math></span> has as its vertices all <em>n</em>! bijections from <span><math><mi>V</mi><mo>(</mo><mi>X</mi><mo>)</mo></math></span> to <span><math><mi>V</mi><mo>(</mo><mi>Y</mi><mo>)</mo></math></span>, where two bijections are adjacent if and only if they differ on two adjacent elements of <span><math><mi>V</mi><mo>(</mo><mi>X</mi><mo>)</mo></math></span> whose mappings are adjacent in <em>Y</em>. We consider the setting where <em>X</em> and <em>Y</em> are both edge-subgraphs of <span><math><msub><mrow><mi>K</mi></mrow><mrow><mi>r</mi><mo>,</mo><mi>r</mi></mrow></msub></math></span>: due to a parity obstruction, <span><math><mrow><mi>FS</mi></mrow><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>)</mo></math></span> is always disconnected in this setting. Modestly improving a result of Bangachev, we show that if <em>X</em> and <em>Y</em> respectively have minimum degrees <span><math><mi>δ</mi><mo>(</mo><mi>X</mi><mo>)</mo></math></span> and <span><math><mi>δ</mi><mo>(</mo><mi>Y</mi><mo>)</mo></math></span> and they satisfy <span><math><mi>δ</mi><mo>(</mo><mi>X</mi><mo>)</mo><mo>+</mo><mi>δ</mi><mo>(</mo><mi>Y</mi><mo>)</mo><mo>≥</mo><mo>⌊</mo><mn>3</mn><mi>r</mi><mo>/</mo><mn>2</mn><mo>⌋</mo><mo>+</mo><mn>1</mn></math></span>, then <span><math><mrow><mi>FS</mi></mrow><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>)</mo></math></span> has exactly two connected components. This proves that the cutoff for <span><math><mrow><mi>FS</mi></mrow><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>)</mo></math></span> to avoid isolated vertices is equal to the cutoff for <span><math><mrow><mi>FS</mi></mrow><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>)</mo></math></span> to have exactly two connected components. We also consider a probabilistic setup in which we fix <em>Y</em> to be <span><math><msub><mrow><mi>K</mi></mrow><mrow><mi>r</mi><mo>,</mo><mi>r</mi></mrow></msub></math></span>, but randomly generate <em>X</em> by including each edge in <span><math><msub><mrow><mi>K</mi></mrow><mrow><mi>r</mi><mo>,</mo><mi>r</mi></mrow></msub></math></span> independently with probability <em>p</em>. Invoking a result of Zhu, we exhibit a phase transition phenomenon with threshold function <span><math><mo>(</mo><mi>log</mi><mo></mo><mi>r</mi><mo>)</mo><mo>/</mo><mi>r</mi></math></span>. More precisely, below the threshold, <span><math><mrow><mi>FS</mi></mrow><mo>(</mo><mi>X</mi><mo>,</mo><msub><mrow><mi>K</mi></mrow><mrow><mi>r</mi><mo>,</mo><mi>r</mi></mrow></msub><mo>)</mo></math></span> has more than two connected components with high probability, while above the threshold, <span><math><mrow><mi>FS</mi></mrow><mo>(</mo><mi>X</mi><mo>,</mo><msub><mrow><mi>K</mi></mrow><mrow><mi>r</mi><mo>,</mo><mi>r</mi></mrow></msub><mo>)</mo></math></span> has exactly two connected components with hi","PeriodicalId":50572,"journal":{"name":"Discrete Mathematics","volume":"349 1","pages":"Article 114667"},"PeriodicalIF":0.7,"publicationDate":"2025-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144522896","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Para-Kähler Lie 2-algebras, pre-Lie 2-bialgebras and 2-graded classical Yang-Baxter equations","authors":"Jiefeng Liu , Tongtong Yue , Qi Wang","doi":"10.1016/j.geomphys.2025.105582","DOIUrl":"10.1016/j.geomphys.2025.105582","url":null,"abstract":"<div><div>We introduce a notion of a para-Kähler strict Lie 2-algebra, which can be viewed as a categorification of a para-Kähler Lie algebra. In order to study para-Kähler strict Lie 2-algebra in terms of strict pre-Lie 2-algebras, we introduce the Manin triples, matched pairs and bialgebra theory for strict pre-Lie 2-algebras and the equivalent relationships between them are also established. Using the cohomology theory of Lie 2-algebras, we study the coboundary strict pre-Lie 2-algebras and introduce 2-graded classical Yang-Baxter equations in strict pre-Lie 2-algebras. The solutions of the 2-graded classical Yang-Baxter equations are useful to construct strict pre-Lie 2-algebras and para-Kähler strict Lie 2-algebras. In particular, there is a natural construction of strict pre-Lie 2-bialgebras from the strict pre-Lie 2-algebras.</div></div>","PeriodicalId":55602,"journal":{"name":"Journal of Geometry and Physics","volume":"216 ","pages":"Article 105582"},"PeriodicalIF":1.6,"publicationDate":"2025-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144549357","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}